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olga nikolaevna [1]
3 years ago
11

What is the equation of a hyperbola with a = 6 and c =9? Assume that the transverse axis is horizontal.

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
5 0
Solve for b 
<span>b² =81-36=45 </span>

<span>x²/a² - y²/b² =1 </span>
<span>plug in and choose</span>
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Which of the following expressions could be used to represent "the difference between -17 and -8"?
musickatia [10]
The  last bc the + and - are different that means it will be subtracted.
7 0
3 years ago
Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest fo
Ipatiy [6.2K]

Answer:

a_n = -11-14n

Step-by-step explanation:

Given

a_1 = -25

a_n = a_{n-1}-14

Required

The explicit formula

First, calculate a_2

Set n=2; So:

a_2 = a_{2-1}-14

a_2 = a_{1}-14

Substitute -25 for a_1

a_2 = -25-14

a_2 = -39

Calculate the common difference (d)

d = a_2 - a_1

d = -39 --25

d = -14

So, the nth term is:

a_n = a_1 + (n - 1)d

a_n = -25+ (n - 1)*-14

Open bracket

a_n = -25-14n + 14

Collect like terms

a_n = 14-25-14n

a_n = -11-14n

4 0
2 years ago
A line that includes the point (-3,-4) and (-4,f ) has a slope of 6. What is the value of f?
Eduardwww [97]

Answer:

f = -10

( -3, -4) ( - 4 , -10)

Step-by-step explanation:

Formula for slope

m =( y_2 - y_1)/(x _2 - x _1)

m = 6

6 = (y_2 - y_1) / (x _2 - x_1)

Substitute the points

( -3 , -4) ( -4 , f)

x_1 = -3

y_1 = -4

x_2 = -4

y_2 = f

Insert the values into

6 = (y_2 - y_1) / (x_2 - x_1)

6 = (f - (-4))/ ( -4 - (-3)

6 = ( f + 4)/ ( -4 + 3)

Cross multiply

6 ( -4 + 3) = f + 4

6 ( -1) = f + 4

-6 = f + 4

-6 - 4 = f

f = -6 - 4

f = -10

( -3 , -4) ( -3 , f)

The value of f is -10

( -3 , -4) ( -3 , -10)

8 0
3 years ago
What is the slope of a line that runs parallel to y = 2 x + 5?
Ganezh [65]
The equation "y=mx+b"  is the slope-intercept forme of a line with slope "m" and y-interceptept (0,b)

In this case:
y=2x+5;
the slope "m" will be equato to : "2".

Answer: the slope is 2.
7 0
3 years ago
Read 2 more answers
Once a week you babysit your neighbor’s toddler after school, usually going to a local playground. You notice that each swing on
Ira Lisetskai [31]

Answer:

3.9 units

Step-by-step explanation:

We are given that,

Time taken by each swing = 2.2 seconds

The pendulum formula is given by, T = 2\pi \sqrt{\frac{L}{32}}, where T is the time taken and L is the length of the swing.

So, we have,

2.2= 2\pi \sqrt{\frac{L}{32}}

i.e. \frac{2.2}{2\pi}=\sqrt{\frac{L}{32}}

i.e. (\frac{2.2}{2\pi})^{2}=\frac{L}{32}

i.e. L=32\times (\frac{2.2}{2\pi})^{2}

i.e. L=32\times \frac{4.84}{4 \pi^2}

i.e. L=32\times \frac{1.21}{\pi^2}

i.e. L=\frac{38.72}{9.87}

i.e. L = 3.923 units

So, rounded to tenths, the length of the swing is 3.9 units.

8 0
3 years ago
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